Finding the Fourth Proportional to 1,335.68, 1,842.81 and 776.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,335.68 : 1,842.81 = 776.02 : x
2. Step 2: Convert to fraction form
   1,335.68/1,842.81 = 776.02/x
3. Step 3: Cross multiply
   1,335.68x = 1,842.81 × 776.02
4. Step 4: Simplify right side
   1,335.68x = 1,430,057.42
5. Step 5: Solve for x
   x = 1,430,057.42/1,335.68
6. Step 6: Final answer
   x = 1,070.66